Hausdorff Dimension and Non-degenerate Families of Projections

Esa Järvenpää, Maarit Järvenpää, Tamás Keleti

Type: Article

Publication Date: 2013-03-28

Citations: 18

DOI: https://doi.org/10.1007/s12220-013-9407-8

View Publication

Download PDF

Locations

arXiv (Cornell University) - View - PDF
DataCite API - View
Journal of Geometric Analysis - View

Similar Works

Action	Title	Year	Authors
+	One-dimensional families of projections	2008	Esa Järvenpää Maarit Järvenpää F. Ledrappier Mika Leikas
+	Assouad dimension influences the box and packing dimensions of orthogonal projections	2019	K. J. Falconer Jonathan M. Fraser Pablo Shmerkin
+	Assouad dimension influences the box and packing dimensions of orthogonal projections	2019	K. J. Falconer Jonathan M. Fraser Pablo Shmerkin
+ PDF Chat	Assouad dimension influences the box and packing dimensions of orthogonal projections	2021	K. J. Falconer Jonathan M. Fraser Pablo Shmerkin
+ PDF Chat	On restricted families of projections in ℝ<sup>3</sup>	2014	Katrin Fässler Tuomas Orponen
+ PDF Chat	Hausdorff dimension, projections, and the Fourier transform	2004	Pertti Mattila
+	Hausdorff dimension estimates for restricted families of projections in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:math>	2015	Tuomas Orponen
+	Hausdorff dimension of projections and distance sets	2015	Pertti Mattila
+ PDF Chat	The Assouad dimensions of projections of planar sets	2017	Jonathan M. Fraser Tuomas Orponen
+	Hausdorff Dimension Exceptional Set Estimates for Projections, Sections and Intersections	2021	Pertti Mattila
+	Hausdorff dimension of intersections with planes and general sets	2021	Pertti Mattila
+	Random Projections of High- Dimensional Measures	2017	Kavita Ramanan
+	Hausdorff dimension of intersections with planes and general sets	2020	Pertti Mattila
+	Hausdorff dimension of intersections with planes and general sets	2020	Pertti Mattila
+ PDF Chat	Sixty Years of Fractal Projections	2015	K. J. Falconer Jonathan M. Fraser Xiong Jin
+	A restricted projection problem for fractal sets in $\mathbb{R}^n$	2022	Shengwen Gan Shaoming Guo Sheng Wang
+	Sixty Years of Fractal Projections	2014	K. J. Falconer Jonathan M. Fraser Xiong Jin
+	Linear mappings and generalized upper spectrum for dimensions	1999	Esa Järvenpää Maarit Järvenpää
+	Projection factors and generalized real and complex Pythagorean theorems for Lebesgue measures	2019	André L. G. Mandolesi
+ PDF Chat	Two counterexamples concerning Hausdorff dimensions of projections	1979	Roy O. Davies

Works That Cite This (17)

Action	Title	Year	Authors
+ PDF Chat	On the projections of the multifractal packing dimension for $$q>1$$	2019	Bilel Selmi
+	Hausdorff dimension estimates for restricted families of projections in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:math>	2015	Tuomas Orponen
+ PDF Chat	Hausdorff dimension and projections related to intersections	2022	Pertti Mattila
+	On the projections of mutual L^{q,t}-spectrum	2017	N. Yu. Svetova Bilel Selmi
+	Hausdorff dimension estimates for restricted families of projections in $\mathbb{R}^3$	2013	Tuomas Orponen
+ PDF Chat	On the projections of the multifractal Hewitt-Stromberg dimensions	2023	Bilel Selmi
+ PDF Chat	Restricted Families of Projections and Random Subspaces	2018	Chen
+ PDF Chat	A Fubini-type theorem for Hausdorff dimension	2023	Kornélia Héra Tamás Keleti András Máthé
+ PDF Chat	Transversality of isotropic projections, unrectifiability, and Heisenberg groups	2014	Risto Hovila
+ PDF Chat	Improved bounds for restricted projection families via weighted Fourier restriction	2022	Terence L. J. Harris

Works Cited by This (16)

Action	Title	Year	Authors
+	Techniques in fractal geometry	1997	K. J. Falconer
+	Geometric Measure Theory	1988	Herbert Fédérer
+	Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability	1995	Pertti Mattila
+ PDF Chat	Bounds for Kakeya-type maximal operators associated with $k$-planes	2007	Richard Oberlin
+	Besicovitch type maximal operators and applications to fourier analysis	1991	Jean Bourgain
+	One-dimensional families of projections	2008	Esa Järvenpää Maarit Järvenpää F. Ledrappier Mika Leikas
+ PDF Chat	(Non)regularity of Projections of Measures Invariant Under Geodesic Flow	2005	Esa Järvenpää Maarit Järvenpää Mika Leikas
+	Smoothness of projections, Bernoulli convolutions, and the dimension of exceptions	2000	Yuval Peres Wilhelm Schlag
+ PDF Chat	Hausdorff dimension, projections, and the Fourier transform	2004	Pertti Mattila
+	Some Fundamental Geometrical Properties of Plane Sets of Fractional Dimensions	1954	J. M. Marstrand